Synchronous Speed given Mechanical Power Calculator

✖Mechanical Power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.ⓘ Mechanical Power [P_m]			+10% -10%
✖Gross Torque is the immediate twisting force required to turn a blade or pump at a given moment.ⓘ Gross Torque [τ_g]			+10% -10%

✖Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.ⓘ Synchronous Speed given Mechanical Power [N_s]

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Synchronous Speed given Mechanical Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque)
N_s = (60*P_m)/(2*pi*τ_g)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Synchronous Speed - (Measured in Radian per Second) - Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.
Mechanical Power - (Measured in Watt) - Mechanical Power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.
Gross Torque - (Measured in Newton Meter) - Gross Torque is the immediate twisting force required to turn a blade or pump at a given moment.

STEP 1: Convert Input(s) to Base Unit

Mechanical Power: 36 Watt --> 36 Watt No Conversion Required
Gross Torque: 1.89 Newton Meter --> 1.89 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_s = (60*P_m)/(2*pi*τ_g) --> (60*36)/(2*pi*1.89)

Evaluating ... ...

N_s = 181.891363533595

STEP 3: Convert Result to Output's Unit

181.891363533595 Radian per Second -->1736.93457681424 Revolution per Minute (Check conversion here)

FINAL ANSWER

1736.93457681424 ≈ 1736.935 Revolution per Minute <-- Synchronous Speed

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Speed Calculators

Synchronous Speed given Mechanical Power

LaTeX Go Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque)

Motor Speed given Synchronous Speed

LaTeX Go Motor Speed = Synchronous Speed*(1-Slip)

Synchronous Speed given Motor Speed

LaTeX Go Synchronous Speed = Motor Speed/(1-Slip)

Motor Speed in Induction Motor

LaTeX Go Motor Speed = Synchronous Speed*(1-Slip)

Synchronous Speed given Mechanical Power Formula

LaTeX Go

Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque)
N_s = (60*P_m)/(2*pi*τ_g)

What is gross torque?

Gross Torque is the immediate twisting force required to turn a blade or pump at a given moment. Thus, torque is the way to measure the rotational force a machine can produce. For Example, what a walk-behind mower does as it cuts grass or a pressure washer as it pumps water.

How to Calculate Synchronous Speed given Mechanical Power?

Synchronous Speed given Mechanical Power calculator uses Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque) to calculate the Synchronous Speed, Synchronous Speed given Mechanical Power is the speed of the revolution of the magnetic field in the stator winding of the motor. It is the speed at which the electromotive force is produced by the alternating machine. Synchronous Speed is denoted by N_s symbol.

How to calculate Synchronous Speed given Mechanical Power using this online calculator? To use this online calculator for Synchronous Speed given Mechanical Power, enter Mechanical Power (P_m) & Gross Torque (τ_g) and hit the calculate button. Here is how the Synchronous Speed given Mechanical Power calculation can be explained with given input values -> 16586.5 = (60*36)/(2*pi*1.89).

FAQ

What is Synchronous Speed given Mechanical Power?

Synchronous Speed given Mechanical Power is the speed of the revolution of the magnetic field in the stator winding of the motor. It is the speed at which the electromotive force is produced by the alternating machine and is represented as N_s = (60*P_m)/(2*pi*τ_g) or Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque). Mechanical Power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity & Gross Torque is the immediate twisting force required to turn a blade or pump at a given moment.

How to calculate Synchronous Speed given Mechanical Power?

Synchronous Speed given Mechanical Power is the speed of the revolution of the magnetic field in the stator winding of the motor. It is the speed at which the electromotive force is produced by the alternating machine is calculated using Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque). To calculate Synchronous Speed given Mechanical Power, you need Mechanical Power (P_m) & Gross Torque (τ_g). With our tool, you need to enter the respective value for Mechanical Power & Gross Torque and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Synchronous Speed?

In this formula, Synchronous Speed uses Mechanical Power & Gross Torque. We can use 3 other way(s) to calculate the same, which is/are as follows -

Synchronous Speed = Motor Speed/(1-Slip)
Synchronous Speed = (120*Frequency)/(Number of Poles)
Synchronous Speed = (Motor Speed)/(Efficiency)

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